Find two positive numbers whose sum is 676 and the

Chaya Galloway

Chaya Galloway

Answered question

2021-08-14

Find two positive numbers whose sum is 676 and the sum of whose squares is a minimum.

Answer & Explanation

SoosteethicU

SoosteethicU

Skilled2021-08-15Added 102 answers

Let the two numbers be x and y. Sum is 676 x+y=676 Solve for y y=676-x Now, sum of squares =x2+y2=x2+(676x)2=x2+456976+x21352x2x21352x+456976where a=2x2,b=1352x,c=456976 Minimum occurs at vertex So, x=b2ax=13522(2)x=13524x=338y=676xy=676338y=338 So, (338, 338) is Answer

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?